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## Homework Statement

An LTI discrete-time system has frequency response given by

(a) Use one of the above forms of the frequency response to obtain an equation for the

impulse response h[n] of the system.

(b) From the frequency response, determine the difference equation that is satisfied by

the input x[n] and the output y[n] of the system.

(c) If the input to this system is

x[n]=4+2cos(won) for oo<n<oo,

for what value of wo will the output be of the form

y[n] =A constant

for -00 < n < oo? What is the constant A?

**2. The attempt at a solution**

(a) i found to be

h[n] = (0.8)^n u[n] + (0.8)^n-2 u[n-2]

Can anyone help me with the rest of the two parts?